I'm having problems dividing the polynomial 2x^5 + 2x^3 + x^2 + 1 by x^2 + 1

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- March 22nd 2011, 10:04 AMDevi09Dividing polynomial
I'm having problems dividing the polynomial 2x^5 + 2x^3 + x^2 + 1 by x^2 + 1

- March 22nd 2011, 10:19 AMHallsofIvy
Looks straight forward to me. But I don't know what to tell you without seeing what you did. Did you remember to include "0x" in the divisor and " " and " " in the dividend? How many times does divide into ?

- March 22nd 2011, 10:39 AMDevi09
It goes in 2x^3 times but I get x^2 as the next quotient part but the correct quotient should be 2x^3 - 1 according to the answer the book gives

- March 22nd 2011, 03:03 PMDevi09

This is the subtracting parts: The quotient i got is

Part 1

Part 2

Part 3

Part 4

Final - March 23rd 2011, 04:54 AMHallsofIvy
Yes, divides into times. And multiplying the entire divisor by gives

Now subtract that from the dividend:

.

And now, of course, divides into that exactly once: the quotient is .